Practice Applications Of Discrete Log Problem In Cryptography (17.2.6)

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6 sample questions

Question 1.
Define the discrete logarithm.
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Think about the structure of logarithms in general.
Question 2.
What is a cyclic group?
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Consider what defines group structure in mathematics.
3Question 3.
What does the discrete logarithm problem involve?
- Calculating the order of a group
- Finding the exponent x in g^x = y
- Determining the generator of a group
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Focus on the relationship between operations and exponents.
4Question 4.
True or False: The Diffie-Hellman protocol allows two parties to create a shared secret key using DLP.
- True
- False
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Think about what the protocol aims to achieve.
Question 5.
Given g = 5 in a cyclic group of order 11, calculate the discrete logarithm of y = 3.
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Calculate the powers of g step by step until you find the matching value.
Question 6.
Assess the security implications of using a widely known DLP where algorithms exist to solve it efficiently.
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Research any known vulnerabilities in popular cryptographic systems.

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